Zobrazeno 1 - 10
of 156
pro vyhledávání: '"Vyacheslav Futorny"'
Publikováno v:
Bulletin of Mathematical Sciences, Vol 11, Iss 3, Pp 2130001-1-2130001-109 (2021)
We provide a classification and an explicit realization of all simple Gelfand–Tsetlin modules of the complex Lie algebra 𝔰𝔩(3). The realization of these modules, including those with infinite-dimensional weight spaces, is given via regular an
Externí odkaz:
https://doaj.org/article/4315202a6ce34927808ef5e78ae5661e
Autor:
Abdullah Alazemi, Milica Anđelić, Carlos M. da Fonseca, Vyacheslav Futorny, Vladimir V. Sergeichuk
Publikováno v:
Mathematics, Vol 9, Iss 5, p 455 (2021)
We consider systems of bilinear forms and linear maps as representations of a graph with undirected and directed edges. Its vertices represent vector spaces; its undirected and directed edges represent bilinear forms and linear maps, respectively. We
Externí odkaz:
https://doaj.org/article/9b055c490d1046e89012973d1066f119
Autor:
Vyacheslav Futorny, Iryna Kashuba
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 5, p 026 (2009)
We study induced modules of nonzero central charge with arbitrary multiplicities over affine Lie algebras. For a given pseudo parabolic subalgebra P of an affine Lie algebra G, our main result establishes the equivalence between a certain category of
Externí odkaz:
https://doaj.org/article/425342b7843a4a3caf744eb7c65c6bb5
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
We use induction from parabolic subalgebras with infinite-dimensional Levi factor to construct new families of irreducible representations for arbitrary affine Kac-Moody algebras. Our first construction defines a functor from the category of Whittake
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d744312c1d096c0751c129a368c4b47a
https://doi.org/10.1090/proc/16209
https://doi.org/10.1090/proc/16209
Autor:
Vyacheslav Futorny
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
Most significant contributions to the Representation Theory of Lie algebras by the members of the research group of IME-USP and their collaborators are described. The focus is made on the Gelfand-Tsetlin theories, representations of affine Kac-Moody
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52a43a2754b70980018af38f9a8cfbb3
https://doi.org/10.1007/s40863-021-00245-0
https://doi.org/10.1007/s40863-021-00245-0
Publikováno v:
Linear Algebra and its Applications. 614:455-499
We give new proofs of several known results about perturbations of matrix pencils. In particular, we give a direct and constructive proof of Andrzej Pokrzywa's theorem (1983), in which the closure of the orbit of each Kronecker canonical matrix penci
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ffd191fa5788c8e230af8c4926ff3bf
https://doi.org/10.1016/j.laa.2020.12.009
https://doi.org/10.1016/j.laa.2020.12.009
Publikováno v:
Mathematical Research Letters. 28:1379-1418
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fc87e1cbc95c0bf1f19ecaee80bfdd0d
https://doi.org/10.4310/mrl.2021.v28.n5.a5
https://doi.org/10.4310/mrl.2021.v28.n5.a5
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
In this note, we define one more way of quantization of classical systems. The quantization we consider is an analogue of classical Jordan–Schwinger map which has been known and used for a long time by physicists. The difference, compared to Jordan
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3322e3c4f1121769ca6384b0f65de84f
https://doi.org/10.1007/s11005-022-01507-4
https://doi.org/10.1007/s11005-022-01507-4
Publikováno v:
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
We introduce the notion of essential support of a simple Gelfand-Tsetlin $\mathfrak{gl}_n$-module as an important tool towards understanding the character formula of such module. This support detects the weights in the module having maximal possible
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::244784458e5ff57fa06984805b58df02
https://doi.org/10.1016/j.jalgebra.2020.02.032
https://doi.org/10.1016/j.jalgebra.2020.02.032
Autor:
Vyacheslav Futorny, João Schwarz
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
We prove that an invariant subalgebra A n W of the Weyl algebra A n is a Galois order over an adequate commutative subalgebra Γ when W is a two-parameters irreducible unitary reflection group G ( m , 1 , n ) , m ≥ 1 , n ≥ 1 , including the Weyl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19069eb7ea1ec912055f48812d4f9f40
https://doi.org/10.1016/j.jalgebra.2019.09.014
https://doi.org/10.1016/j.jalgebra.2019.09.014